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Finding the Fourth Proportional to 552.56, 762.36 and 412.88

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Solution

The fourth proportional to 552.56, 762.36 and 412.88 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.56 : 762.36 = 412.88 : x
  2. Step 2: Convert to fraction form
    552.56/762.36 = 412.88/x
  3. Step 3: Cross multiply
    552.56x = 762.36 × 412.88
  4. Step 4: Simplify right side
    552.56x = 314,763.20
  5. Step 5: Solve for x
    x = 314,763.20/552.56
  6. Step 6: Final answer
    x = 569.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.